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3961408 = 261117331
BaseRepresentation
bin1111000111001001000000
321110021000211
433013021000
52003231113
6220523504
745446203
oct17071100
97407024
103961408
1122662a0
1213b0594
13a89139
1475193a
15533b3d
hex3c7240

3961408 has 56 divisors (see below), whose sum is σ = 9107424. Its totient is φ = 1689600.

The previous prime is 3961393. The next prime is 3961411. The reversal of 3961408 is 8041693.

It is a self number, because there is not a number n which added to its sum of digits gives 3961408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11803 + ... + 12133.

Almost surely, 23961408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3961408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4553712).

3961408 is an abundant number, since it is smaller than the sum of its proper divisors (5146016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3961408 is a wasteful number, since it uses less digits than its factorization.

3961408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 3961408 is about 1990.3286160833. The cubic root of 3961408 is about 158.2279463672.

The spelling of 3961408 in words is "three million, nine hundred sixty-one thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 187 272 331 352 374 544 662 704 748 1088 1324 1496 2648 2992 3641 5296 5627 5984 7282 10592 11254 11968 14564 21184 22508 29128 45016 58256 61897 90032 116512 123794 180064 233024 247588 360128 495176 990352 1980704 3961408